Search a number
-
+
5523984 = 243319673
BaseRepresentation
bin10101000100101000010000
3101101122111000
4111010220100
52403231414
6314222000
764644624
oct25045020
911348430
105523984
113133284
121a24900
1311b543b
14a3b184
15741b09
hex544a10

5523984 has 80 divisors (see below), whose sum is σ = 16715200. Its totient is φ = 1741824.

The previous prime is 5523967. The next prime is 5524027. The reversal of 5523984 is 4893255.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7872 + ... + 8544.

It is an arithmetic number, because the mean of its divisors is an integer number (208940).

Almost surely, 25523984 is an apocalyptic number.

5523984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5523984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357600).

5523984 is an abundant number, since it is smaller than the sum of its proper divisors (11191216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5523984 is a wasteful number, since it uses less digits than its factorization.

5523984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5523984 is about 2350.3157234721. The cubic root of 5523984 is about 176.7736261445.

The spelling of 5523984 in words is "five million, five hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 673 684 912 1026 1346 1368 2019 2052 2692 2736 4038 4104 5384 6057 8076 8208 10768 12114 12787 16152 18171 24228 25574 32304 36342 38361 48456 51148 72684 76722 96912 102296 115083 145368 153444 204592 230166 290736 306888 345249 460332 613776 690498 920664 1380996 1841328 2761992 5523984